Answer:
n = 78
Step-by-step explanation:
IQR is the interquartile range of the data set.
So Saul had already arranged the data in order, that is the first step when calculating the interquartile range.
25, 30, 50, 50, 50, 50, 56, n., 250
Next, is to find the median so we could easily separate the data into quartiles.
The median of the data 25, 30, 50, 50, 50, 50, 56, n., 250 = 50
Then, arrange the data into the first quartile and the third quartile
first quartile = 25, 30, 50, 50
third quartile = 50, 56, n., 250
first quartile median = 30 + 50 = 80/2 = 40
third quartile = 56 + n /2
The interquartile range formula is the first quartile subtracted from the third quartile:
IQR = Q3 – Q1.
Since 27 is the interquartile range, n=
27 = (56 + n /2) - 40
Use 2 to multiply through to eliminate the denominator
54 = (56 + n) - 80
n = 78
